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Finding the Fourth Proportional to 503.94, 757.59 and 413.31

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Solution

The fourth proportional to 503.94, 757.59 and 413.31 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.94 : 757.59 = 413.31 : x
  2. Step 2: Convert to fraction form
    503.94/757.59 = 413.31/x
  3. Step 3: Cross multiply
    503.94x = 757.59 × 413.31
  4. Step 4: Simplify right side
    503.94x = 313,119.52
  5. Step 5: Solve for x
    x = 313,119.52/503.94
  6. Step 6: Final answer
    x = 621.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.